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230631418081 = 79260792
BaseRepresentation
bin1101011011001010110…
…1000010100011100001
3211001022002200221122101
43112302231002203201
512234313120334311
6253541155410401
722443155464621
oct3266255024341
9731262627571
10230631418081
11898a0471a59
1238845bb3a01
131899646042c
14b23c330881
155eec724ec1
hex35b2b428e1

230631418081 has 9 divisors (see below), whose sum is σ = 233626189041. Its totient is φ = 227674574244.

The previous prime is 230631418079. The next prime is 230631418139. The reversal of 230631418081 is 180814136032.

The square root of 230631418081 is 480241.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 230631418081 - 21 = 230631418079 is a prime.

It is a super-2 number, since 2×2306314180812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 230631418081.

It is not an unprimeable number, because it can be changed into a prime (230631410081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37936000 + ... + 37942078.

It is an arithmetic number, because the mean of its divisors is an integer number (25958465449).

Almost surely, 2230631418081 is an apocalyptic number.

230631418081 is the 480241-st square number.

230631418081 is the 240121-st centered octagonal number.

It is an amenable number.

230631418081 is a deficient number, since it is larger than the sum of its proper divisors (2994770960).

230631418081 is an frugal number, since it uses more digits than its factorization.

230631418081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12316 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 230631418081 in words is "two hundred thirty billion, six hundred thirty-one million, four hundred eighteen thousand, eighty-one".

Divisors: 1 79 6079 6241 480241 36954241 37939039 2919385039 230631418081